In my opinion there isn't an easy and simple solution for this problem. It is one thing to design a UI for a single screen and another thing to design it for multiple screen resolutions and multiple screen sizes.
Start from reading (again and again) the Supporting Mulitple Screens
in Android's documentation. The Testing your application section I've linked is particularly useful. From the combinations (screen size and screen resolution) select two or three and give them to your artist. Consult the Screen Sizes and Densities
dashboard to see which combinations matter the post.
After the designs have been handed to you, then your developer team will start the implementation of the dynamic layouts
. You will do that using different drawable folders, styles and all the advices presented in the article.
Let's say for example that your designer has created a UI for large screens and 480x800 resolution. You need to make sure that the UI looks OK for a 480x854 large screen as well. To do that you need to avoid absolute pixel measurements and use dip. For medium screens and 1024x768 resolution the designer's UI could be different. 1280x768, 1280x800 are similar resolutions and will be supported by the same xml layout.